How do I find the equation of a line given the ordered pair and the y-intercept?

Mathematics

1 answer:

mixer [17]2 years ago

4 0

Set up the equation y=mx+b plugin the y,x and b to solve for m

You might be interested in

Calculate the number of subsets and the number of proper subsets for the set.

arlik [135]

A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 proper subsets.

The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.

Just to illustrate the claim, we have

• subsets of size 0 (1 of these):

{ } (empty set)

• subsets of size 1 (4 of these):

{1/6}, {1/7}, {1/8}, {1/9}

• subsets of size 2 (6 of these):

{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}

• subsets of size 3 (4 of these):

{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}

• subsets of size 4 (1 of these):

{1/6, 1/7, 1/8, 1/9}

and the last one is the only subset that is not a proper subset, because that subset = the set.

6 0

2 years ago

I have been stuck on number 10 (this problem) for a while now. Can anyone help me with it and walk me through every step in orde

kotykmax [81]

When you multiply a same number but with different powers, you can simply add the powers together. So, in your question, add the powers -1 and -7 together.
7^(-1) x 7^(-7) = 7^(-8)

When you divide a same number but with different powers, you subtract the power at the top with the power from the denominator. So, -8 - (-7) = -1.
7^(-8) / 7^(-7) = 7^(-1)

So your answer would be 7^(-1).
Hopefully my explanation was clear?

5 0

3 years ago

Read 2 more answers

How do I solve the cube root of -1331

sweet-ann [11.9K]

What number cubed equals -1331?

it is -11 because -11*-11*-11 equals to -1331

7 0

2 years ago

Factor the following polynomial: 2x^2+8x

timama [110]

Look at the attached picture⤴

Hope it will help u..